The SL(2, ℤ) dualization algorithm at work
Abstract Recently an algorithm to dualize a theory into its mirror dual has been proposed, both for 3d N $$ \mathcal{N} $$ = 4 linear quivers and for their 4d N $$ \mathcal{N} $$ = 1 uplift. This mimics the manipulations done at the level of the Type IIB brane setup that engineers the 3d theories, w...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-06-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)119 |
| _version_ | 1797675793358258176 |
|---|---|
| author | Riccardo Comi Chiung Hwang Fabio Marino Sara Pasquetti Matteo Sacchi |
| author_facet | Riccardo Comi Chiung Hwang Fabio Marino Sara Pasquetti Matteo Sacchi |
| author_sort | Riccardo Comi |
| collection | DOAJ |
| description | Abstract Recently an algorithm to dualize a theory into its mirror dual has been proposed, both for 3d N $$ \mathcal{N} $$ = 4 linear quivers and for their 4d N $$ \mathcal{N} $$ = 1 uplift. This mimics the manipulations done at the level of the Type IIB brane setup that engineers the 3d theories, where mirror symmetry is realized as S-duality, but it is enirely field-theoretic and based on the application of genuine infra-red dualities that implement the local action of S-duality on the quiver. In this paper, we generalize the algorithm to the full duality group, which is SL(2, ℤ) in 3d and PSL(2, ℤ) in 4d. This also produces dualities for 3d N $$ \mathcal{N} $$ = 3 theories with Chern-Simons couplings, some of which have enhanced N $$ \mathcal{N} $$ = 4 supersymmetry, and their new 4d N $$ \mathcal{N} $$ = 1 counterpart. In addition, we propose three ways to study the RG flows triggered by possible VEVs appearing at the last step of the algorithm, one of which uses a new duality that implements the Hanany-Witten move in field theory. |
| first_indexed | 2024-03-11T22:19:51Z |
| format | Article |
| id | doaj.art-4f8e6ff056584eaaa78428367cbc61db |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:19:51Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4f8e6ff056584eaaa78428367cbc61db2023-09-24T11:06:36ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-0120236110010.1007/JHEP06(2023)119The SL(2, ℤ) dualization algorithm at workRiccardo Comi0Chiung Hwang1Fabio Marino2Sara Pasquetti3Matteo Sacchi4Dipartimento di Fisica, Universitá di Milano-BicoccaInterdisciplinary Center for Theoretical Study, University of Science and Technology of ChinaDipartimento di Fisica, Universitá di Milano-BicoccaDipartimento di Fisica, Universitá di Milano-BicoccaMathematical Institute, University of OxfordAbstract Recently an algorithm to dualize a theory into its mirror dual has been proposed, both for 3d N $$ \mathcal{N} $$ = 4 linear quivers and for their 4d N $$ \mathcal{N} $$ = 1 uplift. This mimics the manipulations done at the level of the Type IIB brane setup that engineers the 3d theories, where mirror symmetry is realized as S-duality, but it is enirely field-theoretic and based on the application of genuine infra-red dualities that implement the local action of S-duality on the quiver. In this paper, we generalize the algorithm to the full duality group, which is SL(2, ℤ) in 3d and PSL(2, ℤ) in 4d. This also produces dualities for 3d N $$ \mathcal{N} $$ = 3 theories with Chern-Simons couplings, some of which have enhanced N $$ \mathcal{N} $$ = 4 supersymmetry, and their new 4d N $$ \mathcal{N} $$ = 1 counterpart. In addition, we propose three ways to study the RG flows triggered by possible VEVs appearing at the last step of the algorithm, one of which uses a new duality that implements the Hanany-Witten move in field theory.https://doi.org/10.1007/JHEP06(2023)119Duality in Gauge Field TheoriesSupersymmetric Gauge TheorySupersymmetry and Duality |
| spellingShingle | Riccardo Comi Chiung Hwang Fabio Marino Sara Pasquetti Matteo Sacchi The SL(2, ℤ) dualization algorithm at work Journal of High Energy Physics Duality in Gauge Field Theories Supersymmetric Gauge Theory Supersymmetry and Duality |
| title | The SL(2, ℤ) dualization algorithm at work |
| title_full | The SL(2, ℤ) dualization algorithm at work |
| title_fullStr | The SL(2, ℤ) dualization algorithm at work |
| title_full_unstemmed | The SL(2, ℤ) dualization algorithm at work |
| title_short | The SL(2, ℤ) dualization algorithm at work |
| title_sort | sl 2 z dualization algorithm at work |
| topic | Duality in Gauge Field Theories Supersymmetric Gauge Theory Supersymmetry and Duality |
| url | https://doi.org/10.1007/JHEP06(2023)119 |
| work_keys_str_mv | AT riccardocomi thesl2zdualizationalgorithmatwork AT chiunghwang thesl2zdualizationalgorithmatwork AT fabiomarino thesl2zdualizationalgorithmatwork AT sarapasquetti thesl2zdualizationalgorithmatwork AT matteosacchi thesl2zdualizationalgorithmatwork AT riccardocomi sl2zdualizationalgorithmatwork AT chiunghwang sl2zdualizationalgorithmatwork AT fabiomarino sl2zdualizationalgorithmatwork AT sarapasquetti sl2zdualizationalgorithmatwork AT matteosacchi sl2zdualizationalgorithmatwork |